GCD of 457, 853, 16, 229 Calculator

Given Input numbers are 457, 853, 16, 229

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 457

List of positive integer divisors of 457 that divides 457 without a remainder.

1, 457

Divisors of 853

List of positive integer divisors of 853 that divides 853 without a remainder.

1, 853

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Divisors of 229

List of positive integer divisors of 229 that divides 229 without a remainder.

1, 229

Greatest Common Divisior

We found the divisors of 457, 853, 16, 229 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 457, 853, 16, 229 is 1.

Therefore, GCD of numbers 457, 853, 16, 229 is 1

Given Input Data is 457, 853, 16, 229

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 457 is 457

Prime Factorization of 853 is 853

Prime Factorization of 16 is 2 x 2 x 2 x 2

Prime Factorization of 229 is 229

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(457, 853) = 389821

GCD(457, 853) = ( 457 x 853 ) / 389821

GCD(457, 853) = 389821 / 389821

GCD(457, 853) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 16

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 16) = 16

GCD(1, 16) = ( 1 x 16 ) / 16

GCD(1, 16) = 16 / 16

GCD(1, 16) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 229

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 229) = 229

GCD(1, 229) = ( 1 x 229 ) / 229

GCD(1, 229) = 229 / 229

GCD(1, 229) = 1

GCD of 457, 853, 16, 229 is 1

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1. What is the GCD of 457, 853, 16, 229?

GCD of 457, 853, 16, 229 is 1

2. Where do I get the detailed procedure to find GCD of 457, 853, 16, 229?

You can find a detailed procedure to find GCD of 457, 853, 16, 229 on our page.

3. How to find GCD of 457, 853, 16, 229 on a calculator?

You can find the GCD of 457, 853, 16, 229 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.